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    • CommentRowNumber1.
    • CommentAuthorAndrew Stacey
    • CommentTimeNov 9th 2011

    Added parallelogram identity since it was linked from type (functional analysis). Actually, I mostly stole the content from another wiki, (this one) but I don’t think that the original author will mind.

    • CommentRowNumber2.
    • CommentAuthorTim_Porter
    • CommentTimeNov 9th 2011

    I would make sure by asking him! :-)

    • CommentRowNumber3.
    • CommentAuthorzskoda
    • CommentTimeNov 9th 2011

    Maybe we should classify 2 into philosophy thread…on self-reflection…

    • CommentRowNumber4.
    • CommentAuthorTodd_Trimble
    • CommentTimeNov 9th 2011

    I added a little result to parallelogram identity that I’ve always liked, and which seems to fit the overall theme.

    • CommentRowNumber5.
    • CommentAuthorAndrew Stacey
    • CommentTimeNov 9th 2011

    Very nice. Yes, I think that does fit the theme.

    Quite apart from where I stole the source from, I felt that either the page was going to be very short (“The parallelogram identity is …”) or it would have to take a slightly lower level approach. Being in a teach-y mood, I went for the latter.

    What might be nice to do is to list other characterisations of Hilbert spaces. I came across a few others when I asked about this on MO a long, long time ago.